
Chemometrics in Spectroscopy
Revised Second Edition
- 2nd Edition - September 30, 2021
- Imprint: Academic Press
- Authors: Howard Mark, Jerry Workman Jr.
- Language: English
- Paperback ISBN:9 7 8 - 0 - 3 2 3 - 9 1 1 6 4 - 1
- eBook ISBN:9 7 8 - 0 - 3 2 3 - 9 1 1 7 0 - 2
Chemometrics in Spectroscopy, Revised Second Edition provides the reader with the methodology crucial to apply chemometrics to real world data. The book allows scientists using spe… Read more

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Request a sales quoteChemometrics in Spectroscopy, Revised Second Edition provides the reader with the methodology crucial to apply chemometrics to real world data. The book allows scientists using spectroscopic instruments to find explanations and solutions to their problems when they are confronted with unexpected and unexplained results. Unlike other books on these topics, it explains the root causes of the phenomena that lead to these results. While books on NIR spectroscopy sometimes cover basic chemometrics, they do not mention many of the advanced topics this book discusses.
This revised second edition has been expanded with 50% more content on advances in the field that have occurred in the last 10 years, including calibration transfer, units of measure in spectroscopy, principal components, clinical data reporting, classical least squares, regression models, spectral transfer, and more.
- Written in the column format of the authors’ online magazine
- Presents topical and important chapters for those involved in analysis work, both research and routine
- Focuses on practical issues in the implementation of chemometrics for NIR Spectroscopy
- Includes a companion website with 350 additional color figures that illustrate CLS concepts
- Cover image
- Title page
- Table of Contents
- Copyright
- Dedication
- Preface to the First Edition
- Preface to the Second Edition
- The Book Companion
- Chapter 1: A New Beginning …
- Abstract
- Multivariate Normal Distribution
- Section 1: Elementary Matrix Algebra
- Chapter 2: Elementary Matrix Algebra: Part 1—Primitive operations: Addition, Subtraction, Multiplication, Division, Inverse, Transpose
- Abstract
- Matrix Operations
- Elementary Operations for Linear Equations
- Summary
- Chapter 3: Elementary Matrix Algebra: Part 2—Elementary Operations, Inverse of a Matrix
- Abstract
- Elementary Matrix Operations
- Summary
- Section 2: Matrix Algebra And Multiple Linear Regression
- Chapter 4: Matrix Algebra and Multiple Linear Regression: Part 1—Quasi-Algebraic Operations, Multiple Linear Regression, The Least Squares Method
- Abstract
- Quasialgebraic Operations
- Multiple Linear Regression
- The Least Squares Method
- Chapter 5: Matrix Algebra and Multiple Linear Regression: Part 2—When There Are More Equations Than Unknowns, The Power of Matrix Mathematics
- Abstract
- The Power of Matrix Mathematics
- Chapter 6: Matrix Algebra and Multiple Linear Regression: Part 3—The Concept of Determinants
- Abstract
- Chapter 7: Matrix Algebra and Multiple Linear Regression: Part 4—Concluding Remarks, and A Word of Caution
- Abstract
- A Word of Caution
- Section 3: Experimental Designs
- Chapter 8: Experimental Designs, Part 1: Introduction
- Abstract
- Chapter 9: Experimental Designs, Part 2: One-Way ANOVA
- Abstract
- Chapter 10: Experimental Designs, Part 3: Two-Factor Designs
- Abstract
- Chapter 11: Experimental Designs, Part 4: Varying Parameters to Expand the Design
- Abstract
- Introduction to Factorial Designs
- Chapter 12: Experimental Designs, Part 5: One-at-a-Time Designs
- Abstract
- Chapter 13: Experimental Designs, Part 6: Sequential Designs
- Abstract
- Chapter 14: Experimental Designs, Part 7: β, the Power of a Test
- Abstract
- Chapter 15: Experimental Designs, Part 8: β, the Power of a Test (Continued)
- Abstract
- Chapter 16: Experimental Designs, Part 9: Sequential Designs (Concluded)
- Abstract
- Section 4: Analytic Geometry
- Chapter 17: Analytic Geometry: Part 1—The Basics in Two and Three Dimensions
- Abstract
- The Distance Formula
- Direction Notation
- The Cosine Function
- Direction in 3D Space
- Defining Slope in Two Dimensions
- Chapter 18: Analytic Geometry: Part 2—Geometric Representation of Vectors and Algebraic Operations
- Abstract
- Vector Multiplication (Scalar × Vector)
- Vector Division (Vector ÷ Scalar)
- Vector Addition (Vector + Vector)
- Vector Subtraction (Vector − Vector)
- Chapter 19: Analytic Geometry: Part 3—Reducing Dimensionality
- Abstract
- Reducing Dimensionality
- 3D to 2D by Projection
- 2D Into 1D by Rotation
- Chapter 20: Analytic Geometry: Part 4—The Geometry of Vectors and Matrices
- Abstract
- Row Vectors in Column Space
- Column Vectors in Row Space
- Principal Components for Regression Vectors
- Section 5: Regression Techniques
- Chapter 21: Calculating the Solution for Regression Techniques: Part 1—Multivariate Regression Made Simple
- Abstract
- Chapter 22: Calculating the Solution for Regression Techniques: Part 2—Principal Component(s) Regression Made Simple
- Abstract
- Chapter 23: Calculating the Solution for Regression Techniques: Part 3—Partial Least Squares Regression Made Simple
- Abstract
- Chapter 24: Calculating the Solution for Regression Techniques: Part 4—Singular Value Decomposition
- Abstract
- Chapter 25: Interlude: Looking Behind and Ahead
- Abstract
- Chapter 26: A Simple Question
- Abstract
- Chapter 27: Challenges: Unsolved Problems in Chemometrics
- Abstract
- So What Are These Problems?
- Section 6: Linearity In Calibration
- Chapter 28: Linearity in Calibration— Act I—A Thought Experiment Carried Out by Computer Simulation
- Abstract
- Chapter 29: Linearity in Calibration—Act II Scene I—A Firestorm Erupts and A Theoretical Explanation of Linearity
- Abstract
- Chapter 30: Linearity in Calibration—Act II Scene II—Details of Reader Responses
- Abstract
- Chapter 31: Linearity in Calibration—Act II Scene III—Summary of Reader Responses, and Our Commentary on Those Responses☆
- Abstract
- Chapter 32: Linearity in Calibration—Act II Scene IV—A Summary of Findings and Recommendations for Future Explorations
- Abstract
- Chapter 33: Linearity in Calibration—Act II Scene V—Effect of (Non) Linearity on PLS Algorithm
- Abstract
- Section 7: Collaborative Laboratory Studies
- Chapter 34: Collaborative Laboratory Studies: Part 1—A Blueprint
- Abstract
- Experimental Design
- Analytical Methods
- Results and Data Analysis
- Chapter 35: Collaborative Laboratory Studies: Part 2—Using ANOVA
- Abstract
- ANOVA Test Comparisons for Laboratories and Methods (ANOVA_s4 Worksheet)
- ANOVA Test Comparisons (Using ANOVA_s2 Worksheet)
- Chapter 36: Collaborative Laboratory Studies: Part 3—Testing for Systematic Error
- Abstract
- Testing for Systematic Error in a Method: Comparison Test for a Set of Measurements Versus True Value—Spiked Recovery Method (Compare T Worksheet)
- Chapter 37: Collaborative Laboratory Studies: Part 4—Ranking Test
- Abstract
- Ranking Test for Laboratories and Methods (Manual Computations)
- Chapter 38: Collaborative Laboratory Studies: Part 5—Efficient Comparison of Two Methods
- Abstract
- Acknowledgment
- Computations for Efficient Comparison of Two Methods (Comp_Meth Worksheet)
- Summary
- Chapter 39: Collaborative Laboratory Studies: Part 6—MathCad Worksheet Text
- Abstract
- Section 8: Analysis of Noise
- Chapter 40: Is Noise Brought by the Stork? Analysis of Noise—Part 1—A Listing of the Sources of Spectroscopic Noise and Their Characteristics
- Abstract
- Chapter 41: Analysis of Noise—Part 2—The analysis of the effect of ‘constant’ detector noise on a transmission measurement
- Abstract
- Appendix: Proof That the Variance of a Sum Equals the Sum of the Variances
- Chapter 42: Analysis of Noise—Part 3—The Analysis of the Effect of ‘constant’ Detector Noise on the Absorbance, the Relative Absorbance (ΔA/A) and the Optimum Absorbance Value
- Abstract
- Chapter 43: Analysis of Noise—Part 4—The Analysis of the Effect of ‘constant’ Gaussian Detector Noise When the Noise Is Not Negligible Compared to the Signal
- Abstract
- Chapter 44: Analysis of Noise—Part 5—The Analysis of the Effect of ‘constant’ Gaussian Detector Noise When the Reference Energy Approaches Zero
- Abstract
- Update
- Continuation
- Chapter 45: Analysis of Noise—Part 6—The Analysis of the Effect of ‘constant’ Gaussian Detector Noise: Comparing the Effect of Noise in the Sample Channel Versus Noise in the Reference Channel
- Abstract
- Chapter 46: Analysis of Noise—Part 7—The Analysis of ‘constant’ Detector Noise on the Kubelka-Munk Function
- Abstract
- Variation of the Reflectance Due to Noise
- Noise of the KM Function
- Expressing the Variations in Terms of Measured Energies
- Passing Into the Statistical Domain
- Optimizing the KM Function
- Go to the Statistical Domain
- Summary
- Chapter 47: Analysis of Noise—Part 8—Effect of Noise on the Computed Transmittance, Analysis of Uniformly Distributed Noise for Transmittance and Absorbance Values
- Abstract
- Effect of Noise on Computed Transmittance
- Computed Transmittance Noise
- Chapter 48: Analysis of Noise—Part 9—Analysis of Poisson-Distributed Noise, Effects on Transmittance and Absorbance Values
- Abstract
- Chapter 49: Analysis of Noise—Part 10—Analysis of Poisson-Distributed Noise, Effects on Relative Absorbance
- Abstract
- Chapter 50: Analysis of Noise—Part 11—Analysis of Poisson-Distributed Noise, When the Noise Is Not Small Compared to the Reference Signal
- Abstract
- Discussion
- Chapter 51: Analysis of Noise—Part 12—Analysis of Poisson-Distributed Noise: Computation of the Transmittance Noise
- Abstract
- Chapter 52: Analysis of Noise—Part 13—Analysis of Poisson-Distributed Noise: Computation of the Absorbance Noise
- Abstract
- Chapter 53: Analysis of Noise—Part 14—Analysis of Noise Proportional to the Signal, Small-Noise Case
- Abstract
- Chapter 54: Analysis of Noise—Part 15—Analysis of Noise Proportional to the Signal, Large-Noise Case
- Abstract
- Preliminary Steps
- Evaluation of the Function
- Noise
- Section 9: Derivatives
- Chapter 55: Derivatives in Spectroscopy: Part 1—The Behavior of the Theoretical Derivative
- Abstract
- The Behavior of Theoretical Derivatives
- The Behavior of Computed Derivatives
- Chapter 56: Derivatives in Spectroscopy: Part 2—The “True” Derivative
- Abstract
- Better Derivative Approximations
- Chapter 57: Derivatives in Spectroscopy: Part 3—Computing the Derivative (the Savitzky-Golay Method)
- Abstract
- Methods of Computing the Derivative
- Limitations of the Savitzky-Golay Method
- Extensions to the Savitzky-Golay Method
- Chapter 58: Derivatives in Spectroscopy: Part 4—Calibrating With Derivatives
- Abstract
- Acknowledgment
- Chapter 59: Corrections and Discussion Regarding Derivatives
- Abstract
- Section 10: Goodness of Fit Statistics
- Chapter 60: Comparison of Goodness of Fit Statistics for Linear Regression: Part 1—Introduction
- Abstract
- Chapter 61: Comparison of Goodness of Fit Statistics for Linear Regression: Part 2—The Correlation Coefficient
- Abstract
- Chapter 62: Comparison of Goodness of Fit Statistics for Linear Regression: Part 3—Computing Confidence Limits for the Correlation Coefficient
- Abstract
- Testing Correlation for Different Size Populations
- Chapter 63: Comparison of Goodness of Fit Statistics for Linear Regression: Part 4—Confidence Limits for Slope and Intercept
- Abstract
- Section 11: More About Linearity In Calibration
- Chapter 64: Linearity in Calibration, Act III Scene I: Importance of (Non)linearity
- Abstract
- Why Is Nonlinearity Important?
- Chapter 65: Linearity in Calibration, Act III Scene II: A Discussion of the Durbin-Watson Statistic, a Step in the Right Direction
- Abstract
- Chapter 66: Linearity in Calibration, Act III Scene III: Other Tests for Nonlinearity
- Abstract
- F-test
- Normality of Residuals
- Chapter 67: Linearity in Calibration, Act III Scene IV: How Test for Nonlinearity
- Abstract
- Conclusion
- Appendix A: Derivation and Discussion of the Formula in Eq. (67-11)
- Chapter 68: Linearity in Calibration, Act III Scene V: Quantifying Nonlinearity
- Abstract
- Chapter 69: Linearity in Calibration, Act III, Scene VI: Quantifying Nonlinearity, Part II: A Calculus-Based Approach, and A News Flash
- Abstract
- News Flash!!
- Section 12: Connecting Chemometrics To Statistics
- Chapter 70: Connecting Chemometrics to Statistics: Part 1—The Chemometrics Side☆
- Abstract
- Chapter 71: Connecting Chemometrics to Statistics: Part 2—The Statistics Side
- Abstract
- Multivariate ANOVA
- Section 13: Limitations In Analytical Accuracy
- Chapter 72: Limitations in Analytical Accuracy: Part 1—Horwitz’s Trumpet
- Abstract
- Chapter 73: Limitations in Analytical Accuracy: Part 2—Theories to Describe the Limits in Analytical Accuracy
- Abstract
- Detection Limit for Concentrations Near Zero
- Chapter 74: Limitations in Analytical Accuracy: Part 3—Comparing Test Results for Analytical Uncertainty
- Abstract
- Uncertainty in an Analytical Measurement
- Comparison Test for a Single Set of Measurements Versus a True Analytical Result
- Comparison Test for Two Sets of Measurements
- Calculating the Number of Measurements Required to Establish a Mean Value (or Analytical Result) With a Prescribed Uncertainty (Accuracy)
- The Q-Test for Outliers [1–3]
- Summation of Variance From Several Data Sets
- Chapter 75: The Statistics of Spectral Searches
- Abstract
- Common Spectral Matching Approaches
- Mahalanobis Distance Measurements
- Euclidean Distance
- Common Spectral Matching (Correlation or Dot Product)
- Chapter 76: The Chemometrics of Imaging Spectroscopy
- Abstract
- Image Projection of Spectroscopic Data
- Chapter 77: Corrections to Analysis of Noise—Part 1: Alternate Analysis of Transmittance Noise in the ‘large noise’ Regime
- Abstract
- Alternate Analysis
- Chapter 78: Corrections to Analysis of Noise—Part 2: Alternate Analysis of Absorbance noise in the ‘large noise’ Regime
- Abstract
- Absorbance Noise in the “High-Noise” Regime
- Chapter 79: What Can NIR Predict?
- Abstract
- Part A—Results From a Model Created Using Real Reference Values
- Part B—Results from a Model Created Using Random Reference Values
- Part C—So What Does It All Mean?
- Section 14: Derivations of Principal Components
- Chapter 80: The Long, Complicated, Tedious, and Difficult Route to Principal Components (or, When You’re Through Reading This Set You’ll Know Why It's Always Done With Matrices)—Part 1: Introduction and Review
- Abstract
- Abstract
- Some Preliminary Discussion
- Some Preliminary Results
- Application of the ANOVA Principle
- Appendix A: Matrices and Matrix Notation
- Chapter 81: The Long, Complicated, Tedious, and Difficult Route to Principal Components (or, When You’re Through Reading This Set You’ll Know Why It's Always Done With Matrices)—Part 2: Our First Attempt
- Abstract
- Chapter 82: The Long, Complicated, Tedious, and Difficult Route to Principal Components (or, When You’re Through Reading This Set You’ll Know Why It's Always Done With Matrices)—Part 3: Multivariate Curve Fitting
- Abstract
- Appendix B
- Chapter 83: The Long, Complicated, Tedious, and Difficult Route to Principal Components (or, When you’re Through Reading This Set You’ll Know Why It's Always Done With Matrices)—Part 4: The Lagrange Multiplier
- Abstract
- Appendix C
- Chapter 84: The Long, Complicated, Tedious, and Difficult Route to Principal Components (or, When you’re Through Reading This Set You’ll Know Why It's Always Done With Matrices)—Part 5: Solving the Equations With Determinants
- Abstract
- Chapter 85: The Long, Complicated, Tedious, and Difficult Route to Principal Components (or, When You’re Through Reading This Set You’ll Know Why It's Always Done With Matrices)—Part 6: Solving the Equations Without Determinants
- Abstract
- Summary
- Chapter 86: The Long, Complicated, Tedious, and Difficult Route to Principal Components (or, When You’re Through Reading This Set You’ll Know Why It's Always Done With Matrices)—Coda: Applying Constrained Univariate Calculations
- Abstract
- Section 15: Clinical Data Reporting
- Chapter 87: Statistics and Chemometrics for Clinical Data Reporting, Part 1—Fundamentals
- Abstract
- Acknowledgments
- Introduction
- Definitions
- Measurement Error
- Accuracy
- Trueness and Bias
- Precision
- Sample Data Calculations
- Computation of the Regression Line
- Chapter 88: Statistics and Chemometrics for Clinical Data Reporting, Part 2 (Using Excel for Computations)
- Abstract
- Acknowledgments
- Introduction
- Basic Definitions
- Measurement Error
- Accuracy
- Trueness and Bias
- Standard Deviation (as a Measure of Repeatability)
- Precision
- Computation of the Regression Line
- Linear Regression Corrected Results
- Chapter 89: Statistics and Chemometrics for Clinical Data Reporting, Part 3 (Using Excel for Data Plotting)
- Abstract
- Introduction
- Comparing a Reference Method to a Second Test Method
- Correcting One Analytical Method to Report Values of a Second Method
- Comparisons of Two Analytical Methods
- Section 16: Classical Least Squares (CLS)
- Chapter 90: Classical Least Squares, Part 1: MathematicalTheory
- Abstract
- The Mathematics Behind the CLS Method
- Chapter 91: Classical Least Squares, Part 2: Mathematical Theory Continued
- Abstract
- Chapter 92: Classical Least Squares, Part 3: Spectroscopic Theory
- Abstract
- Equivalence of Spectra and Numbers
- Chapter 93: Classical Least Squares, Part 4: Spectroscopic Theory Continued
- Abstract
- Chapter 94: Classical Least Squares, Part 5: ExperimentalResults
- Abstract
- Experimental
- The Data
- Chapter 95: Classical Least Squares, Part 6: Spectral Results
- Abstract
- Chapter 96: Classical Least Squares, Part 7: Spectral Reconstruction of Mixtures
- Abstract
- Adding Some Calculations
- Chapter 97: Classical Least Squares, Part 8: Comparison of CLS Values With Known Values
- Abstract
- Troubleshooting
- The Search for Composition
- Chapter 98: Classical Least Squares, Part 9: Spectral Results from a Second Laboratory
- Abstract
- Spectral Results
- Chapter 99: Classical Least Squares, Part 10: Numerical Results From the Second Laboratory
- Abstract
- Chapter 100: Classical Least Squares, Part 11: Comparison of Results From the Two Laboratories (Continued)
- Abstract
- The Light Dawns
- Section 17: Transfer of Calibrations
- Chapter 101: Transfer of Calibrations, Part 1: An Overview
- Abstract
- Introduction
- Experimental
- Results
- Discussion
- Conclusions
- Definition
- Summary
- Chapter 102: Calibration Transfer, Part 2: The Instrumentation Aspects
- Abstract
- Introduction
- Modeling Approaches
- Instrument Types
- Standardization Methods
- Instrument Comparison and Evaluation Methods
- Instrument Optical Quality Performance Tests
- Chapter 103: Calibration Transfer, Part 3: The Mathematical Aspects
- Abstract
- Introduction
- The Mathematical Approaches to Calibration Transfer
- What to Compare When Transferring Calibrations?
- Summary
- Chapter 104: Calibration Transfer, Part 4: Measuring the Agreement Between Instruments Following Calibration Transfer
- Abstract
- Introduction
- How to Tell If Two Instrument Predictions, or Method Results, Are Statistically Alike
- Standard Uncertainty and Relative Standard Uncertainty
- Relative Standard Uncertainty
- Bland-Altman “Limits of Agreement”
- Conclusion
- Chapter 105: Calibration Transfer, Part 5: The Mathematics of Wavelength Standards Used for Spectroscopy
- Abstract
- Introduction
- Different Approaches to Alignment of the Wavelength Axis
- The NIST Uncertainty Number for SRMs
- Commercial Instrument Wavelength Data
- The Relative Standard Uncertainty Across Commercial Instruments
- The Confidence Levels and Uncertainty Across Commercial Instrument Manufacturers A Through D (Table 105-3)
- Using a NIST-Like Uncertainty Measurement
- Chapter 106: Calibration Transfer, Part 6: The Mathematics of Photometric Standards Used for Spectroscopy
- Abstract
- Introduction
- Different Approaches to Alignment of the Photometric Axis
- The NIST Uncertainty Number for SRMs
- Commercial Instrument Photometric Data
- Estimating the Relative Uncertainty Across the Tested Commercial Instruments
- Section 18: The Importance of Units of Measure
- Chapter 107: Units of Measure in Spectroscopy, Part 1: … and Then the Light Dawned
- Abstract
- Chapter 108: Units of Measure in Spectroscopy, Part 2:It's the VOLUME, Folks!
- Abstract
- Progress
- Chapter 109: Units of Measure in Spectroscopy, Part 3: What Does It All Mean
- Abstract
- A Short Review
- The Mathematics
- Chapter 110: Units of Measure in Spectroscopy, Part 4: Summary of Our Findings
- Abstract
- Summary of Our Findings
- CLS Versus Beer's Law
- Meaning of “Concentration”
- Calibration Transfer
- Partial Molal Volumes
- Chapter 111: Units of Measure in Spectroscopy, Part 5: The “Mythbusters” and Spectral Reconstruction
- Abstract
- Calculation of Pure-Component Spectra
- Section 19: The Best Calibration Model
- Chapter 112: Choosing the Best Regression Model
- Abstract
- Introduction
- Optimizing the Experimental Design for Calibration
- Validating the Regression Model
- Summary
- Chapter 113: Optimizing the Regression Model: The Challenge of Intercept/Bias and Slope “Correction”
- Abstract
- Introduction
- The Initial Spectra and Calibration Equation
- Changing the Wavelength Registration
- Changing the Photometric Registration
- Changing the Linewidth/Lineshape
- Discussion and Review of Results
- Summary of Results
- Section 20: Statistics
- Chapter 114: Statistics, Part 1: First FoundatioN: Probability Theory
- Abstract
- Introduction
- The Foundations
- Chapter 115: Statistics, Part 2:Second FoundatioN: Analysis of Variance
- Abstract
- Second Foundation: The Principle of Analysis of Variance
- Analysis of Variance of Synthetic Data
- The Effect of Adding a Perturbation
- Chapter 116: Statistics, Part 3: Third FoundatioN: Least Squares
- Abstract
- Third Foundation: The Principle of Least Squares
- Chapter 117: How to Select the Appropriate Degrees of Freedom for Multivariate Calibration
- Abstract
- Introduction
- The Subject of Degrees of Freedom
- General Discussion
- Summary
- Chapter 118: Bias and Slope Correction
- Abstract
- Introduction
- Analysis of the Issues
- Instrument Differences Versus SEP
- Instrument Differences Versus Bias
- Instrument Differences Versus Slope
- Summary
- Section 21: Outliers
- Chapter 119: Outliers—Part 1: What Are Outliers?
- Abstract
- Introduction
- What Are Outliers?
- Chapter 120: Outliers—Part 2:Pitfalls in Detecting Outliers
- Abstract
- Detecting Outliers
- Potential Pitfalls
- Chapter 121: Outliers—Part 3: Dealing With Outliers
- Abstract
- Dealing With Outliers
- Summary
- Section 22: Spectral Transfer: Making Instruments Agree
- Chapter 122: Calibration Transfer Chemometrics, Part 1: Review of the Subject
- Abstract
- Introduction
- Comparison of Transfer Methods
- Instrument Alignment and Correction
- The Master Instrument Concept
- Filter Instrument Calibration Transfer
- Direct Standardization and Piecewise Direct Standardization
- Orthogonal Signal Correction
- Procrustes Analysis
- Finite Impulse Response
- Maximum Likelihood Principal Component Analysis
- Using Wavelength Standards for FT-NIR Alignment
- Summary
- Chapter 123: Calibration Transfer Chemometrics, Part 2: Review of the Subject
- Abstract
- Introduction
- Summary
- Section 23: Applying Standard Reference Materials
- Chapter 124: Using Reference Materials, Part 1: Standards for Aligning the x-Axis
- Abstract
- Introduction
- Ultraviolet Wavelength Measurement Standards
- Visible (Vis) Wavelength Measurement Standards
- Near Infrared (NIR) Wavelength Measurement Standards
- Infrared Wavenumber Measurement Standards
- Raman Wavenumber Measurement Standards
- Summary
- Chapter 125: Using ReferenceMaterials, Part 2:Aligning the y-Axis
- Abstract
- Introduction to Photometric Accuracy
- Photometric Correction for Absorbance-Based Spectrophotometers
- Ultraviolet Photometric Standards
- Visible (Vis) Photometric Standards
- Near Infrared Reflectance Photometric Standards
- Infrared Reflectance Photometric Standards
- Raman Intensity Correction Standards
- Section 24: More About CLS
- Chapter 126: More about cls, part 1: expanding the concept
- Abstract
- Expanding Beyond the Small Dataset
- Faux Linearity
- Chapter 127: More About CLS, Part 2: Spectral Results and CLS (Not Requiring Constituent Values)
- Abstract
- Spectral Results Not Needing Constituent Values
- CLS Results
- Expanding Beyond CLS: Introducing PCA
- Chapter 128: More About CLS, Part 3: Expanding the Analysis to Include Concentration Information (PCR and PLS)
- Abstract
- Expanding the Analysis to Include Concentration Information (PCR and PLS)
- Effect of PCR Analysis
- Effect on PLS Analysis
- Results for Individual Analytes
- Conclusions Reached
- Index
- Edition: 2
- Published: September 30, 2021
- Imprint: Academic Press
- No. of pages: 1092
- Language: English
- Paperback ISBN: 9780323911641
- eBook ISBN: 9780323911702
HM
Howard Mark
JW